Finite difference schemes for a structured population model in the space of measures

DOI10.3934/mbe.2020039zbMath1470.92230OpenAlexW2982572672WikidataQ91298320 ScholiaQ91298320MaRDI QIDQ2045716

Nicolas Saintier, Rainey Lyons, Azmy S. Ackleh

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020039

zbMATH Keywords

finite difference schemeshigh-resolution methodsstructured populationsnon-negative Radon measuresbounded-Lipschitz norm

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items

A structured coagulation-fragmentation equation in the space of radon measures: Unifying discrete and continuous models, Well-posedness of a system of transport and diffusion equations in space of measures, Interacting particles systems with delay and random delay differential equations, Second-order finite difference approximation for a nonlinear size-structured population model with an indefinite growth rate coupled with the environment, Straightened characteristics of McKendrick-von Foerster equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extinction and uniform strong persistence of a size-structured population model
• Structured populations, cell growth and measure valued balance laws
• A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Convergence order of upwind type schemes for transport equations with discontinuous coefficients
• Measures under the flat norm as ordered normed vector space
• Markov operators with a unique invariant measure
• Geometric measure theory.
• Measure solutions for some models in population dynamics
• Sensitivity equations for measure-valued solutions to transport equations
• Measure solutions to perturbed structured population models -- differentiability with respect to perturbation parameter
• Differentiability in perturbation parameter of measure solutions to perturbed transport equation
• Mild solutions to a measure-valued mass evolution problem with flux boundary conditions
• Fitting a structured juvenile-adult model for green tree frogs to population estimates from capture-mark-recapture field data
• Finite difference approximations for measure-valued solutions of a hierarchically size-structured population model
• Measure-valued solutions for a hierarchically size-structured population
• A Second-Order High-Resolution Scheme for a Juvenile-Adult Model of Amphibians
• Splitting-particle methods for structured population models: Convergence and applications
• STRUCTURED POPULATION EQUATIONS IN METRIC SPACES
• Numerical methods for structured population models: The Escalator Boxcar Train
• Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
• Colloquium lectures on geometric measure theory
• Measure-valued solutions to size-structured population model of prey controlled by optimally foraging predator harvester
• Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance
• A numerical method for a nonlinear structured population model with an indefinite growth rate coupled with the environment
• Hyperbolic Systems and Transport Equations in Mathematical Biology
• High Resolution Schemes for a Hierarchical Size‐Structured Model
• Convergence de la répartition empirique vers la répartition théorique